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Finding the Fourth Proportional to 31,123.70, 42,949.02 and 17,693.12

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Solution

The fourth proportional to 31,123.70, 42,949.02 and 17,693.12 is: 24,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123.70 : 42,949.02 = 17,693.12 : x
  2. Step 2: Convert to fraction form
    31,123.70/42,949.02 = 17,693.12/x
  3. Step 3: Cross multiply
    31,123.70x = 42,949.02 × 17,693.12
  4. Step 4: Simplify right side
    31,123.70x = 759,902,164.74
  5. Step 5: Solve for x
    x = 759,902,164.74/31,123.70
  6. Step 6: Final answer
    x = 24,415.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.